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Finding the Fourth Proportional to 774.60, 1,067.94 and 541.32

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Solution

The fourth proportional to 774.60, 1,067.94 and 541.32 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,067.94 = 541.32 : x
  2. Step 2: Convert to fraction form
    774.60/1,067.94 = 541.32/x
  3. Step 3: Cross multiply
    774.60x = 1,067.94 × 541.32
  4. Step 4: Simplify right side
    774.60x = 578,097.28
  5. Step 5: Solve for x
    x = 578,097.28/774.60
  6. Step 6: Final answer
    x = 746.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.